Reference Work Entry

Mathematics of Complexity and Dynamical Systems

pp 205-224

Entropy in Ergodic Theory

  • Jonathan L. F. KingAffiliated withRAMTECH LIMITEDUniversity of Florida

Article Outline


Definition of the Subject

Entropy example: How many questions?

Distribution Entropy

A Gander at Shannon's Noisy Channel Theorem

The Information Function

Entropy of a Process

Entropy of a Transformation

Determinism and Zero‐Entropy

The Pinsker–Field and K‑Automorphisms

Ornstein Theory

Topological Entropy

Three Recent Results